%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN610-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:17:43 PM UTC 2026
% Result : Unsatisfiable 4.05s 0.86s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 20 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( p17(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p17(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_20) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(f10(X0,X1),f10(X2,X3))
| ~ p3(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_24) ).
fof(f27,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).
fof(f28,negated_conjecture,
! [X0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_28) ).
fof(f29,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).
fof(f31,plain,
! [X0] : ~ p3(X0,X0),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f35,plain,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| p3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( ~ p17(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p17(X2,X3) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ p3(f10(X0,X1),f10(X2,X3))
| p3(X0,X2)
| p3(X1,X3) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f46,plain,
~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f47,plain,
! [X0] : p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f48,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f17,f2]) ).
fof(f67,plain,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| p3(X1,X0) ),
inference(resolution,[],[f62,f35]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ p2(X2,f6(f7(f8(c20))))
| ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))))
| p17(X0,X2) ),
inference(resolution,[],[f47,f40]) ).
fof(f105,plain,
! [X0,X1] :
( ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))))
| p17(X0,f6(f7(f8(c20)))) ),
inference(resolution,[],[f85,f2]) ).
fof(f187,plain,
! [X0,X1] :
( p3(f10(f14(f4(f9(c19)),c19),f12(X1,c21)),X0)
| p17(f9(X0),f6(f7(f8(c20)))) ),
inference(resolution,[],[f105,f67]) ).
fof(f1072,plain,
! [X2,X0,X1] :
( p17(f9(f10(X0,X1)),f6(f7(f8(c20))))
| p3(f12(X2,c21),X1)
| p3(f14(f4(f9(c19)),c19),X0) ),
inference(resolution,[],[f187,f43]) ).
fof(f18108,plain,
! [X0] :
( p3(f12(X0,c21),f15(f4(f6(f7(f8(c20))))))
| p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(resolution,[],[f1072,f48]) ).
fof(f18123,plain,
! [X0] : p3(f12(X0,c21),f15(f4(f6(f7(f8(c20)))))),
inference(forward_subsumption_resolution,[],[f18108,f31]) ).
fof(f18124,plain,
$false,
inference(backward_subsumption_resolution,[],[f46,f18123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN610-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n026.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 16:37:57 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.05/0.86 % (4000316)Will run a generic schedule for satisfiability detection.
% 4.05/0.86 % (4000322)% WARNING: option uhcvi not known.
% 4.05/0.86 % (4000322)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3431324502:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.05/0.86 % (4000324)dis+10_1_sil=32000:sp=arity:random_seed=147907060:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.05/0.86 % (4000321)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3374953025_2999 on theBenchmark for (2999ds/0Mi)
% 4.05/0.86 % (4000325)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3166278548:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.05/0.86 % (4000327)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2196542273:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.05/0.86 % (4000323)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1538718356:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.05/0.86 % TRYING [1]
% 4.05/0.86 % TRYING [2]
% 4.05/0.86 % TRYING [3]
% 4.05/0.86 % (4000326)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2844722294:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.05/0.86 % TRYING [4]
% 4.05/0.86 % (4000325)Instruction limit reached!
% 4.05/0.86 % (4000325)------------------------------
% 4.05/0.86 % (4000325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.86 % (4000325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.86 % (4000325)CaDiCaL version: 2.1.3
% 4.05/0.86 % (4000325)Termination reason: Instruction limit
% 4.05/0.86 % (4000325)Termination phase: Saturation
% 4.05/0.86 % (4000325)Time elapsed: 0.086 s
% 4.05/0.86 % (4000325)Peak memory usage: 12 MB
% 4.05/0.86 % (4000325)Instructions burned: 116 (million)
% 4.05/0.86 % (4000324)Instruction limit reached!
% 4.05/0.86 % (4000324)------------------------------
% 4.05/0.86 % (4000324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.86 % (4000324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.86 % (4000324)CaDiCaL version: 2.1.3
% 4.05/0.86 % (4000324)Termination reason: Instruction limit
% 4.05/0.86 % (4000324)Termination phase: Saturation
% 4.05/0.86 % (4000324)Time elapsed: 0.086 s
% 4.05/0.86 % (4000324)Peak memory usage: 11 MB
% 4.05/0.86 % (4000324)Instructions burned: 103 (million)
% 4.05/0.86 % (4000337)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4064039761:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.05/0.86 % (4000336)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=598945264:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.05/0.86 % TRYING [1]
% 4.05/0.86 % TRYING [2]
% 4.05/0.86 % TRYING [3]
% 4.05/0.86 % (4000327)Instruction limit reached!
% 4.05/0.86 % (4000327)------------------------------
% 4.05/0.86 % (4000327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.86 % (4000327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.86 % (4000327)CaDiCaL version: 2.1.3
% 4.05/0.86 % (4000327)Termination reason: Instruction limit
% 4.05/0.86 % (4000327)Termination phase: Saturation
% 4.05/0.86 % (4000327)Time elapsed: 0.147 s
% 4.05/0.86 % (4000327)Peak memory usage: 13 MB
% 4.05/0.86 % (4000327)Instructions burned: 159 (million)
% 4.05/0.86 % (4000326)Instruction limit reached!
% 4.05/0.86 % (4000326)------------------------------
% 4.05/0.86 % (4000326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.86 % (4000326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.86 % (4000326)CaDiCaL version: 2.1.3
% 4.05/0.86 % (4000326)Termination reason: Instruction limit
% 4.05/0.86 % (4000326)Termination phase: Saturation
% 4.05/0.86 % (4000326)Time elapsed: 0.122 s
% 4.05/0.86 % (4000326)Peak memory usage: 15 MB
% 4.05/0.86 % (4000326)Instructions burned: 131 (million)
% 4.05/0.86 % TRYING [4]
% 4.05/0.86 % (4000346)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1292227293:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.05/0.86 % (4000347)ott-21_1_sil=16000:fs=off:random_seed=1941499912:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 4.05/0.86 % (4000337)Instruction limit reached!
% 4.05/0.86 % (4000337)------------------------------
% 4.05/0.86 % (4000337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.86 % (4000337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.86 % (4000337)CaDiCaL version: 2.1.3
% 4.05/0.86 % (4000337)Termination reason: Instruction limit
% 4.05/0.86 % (4000337)Termination phase: Saturation
% 4.05/0.86 % (4000337)Time elapsed: 0.124 s
% 4.05/0.86 % (4000337)Peak memory usage: 15 MB
% 4.05/0.86 % (4000337)Instructions burned: 132 (million)
% 4.05/0.86 % TRYING [5]
% 4.05/0.86 % (4000351)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3221834381:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.05/0.86 % TRYING [5]
% 4.05/0.86 % (4000347)Instruction limit reached!
% 4.05/0.86 % (4000347)------------------------------
% 4.05/0.86 % (4000347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.86 % (4000347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.86 % (4000347)CaDiCaL version: 2.1.3
% 4.05/0.86 % (4000347)Termination reason: Instruction limit
% 4.05/0.86 % (4000347)Termination phase: Saturation
% 4.05/0.86 % (4000347)Time elapsed: 0.140 s
% 4.05/0.86 % (4000347)Peak memory usage: 12 MB
% 4.05/0.86 % (4000347)Instructions burned: 181 (million)
% 4.05/0.86 % (4000354)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=188379161:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 4.05/0.86 % TRYING [1]
% 4.05/0.86 % TRYING [2]
% 4.05/0.86 % TRYING [3]
% 4.05/0.86 % TRYING [4]
% 4.05/0.86 % TRYING [5]
% 4.05/0.86 % (4000322) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4000316-4000322"...
% 4.05/0.86 % (4000322)...printing done.
% 4.05/0.86 % (4000322)Refutation found. Thanks to Tanya!
% 4.05/0.86 % SZS status Unsatisfiable for theBenchmark
% 4.05/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/0.86 % (4000322)------------------------------
% 4.05/0.86 % (4000322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.86 % (4000322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.86 % (4000322)CaDiCaL version: 2.1.3
% 4.05/0.86 % (4000322)Termination reason: Refutation
% 4.05/0.86 % (4000322)Time elapsed: 0.601 s
% 4.05/0.86 % (4000322)Peak memory usage: 17 MB
% 4.05/0.86 % (4000322)Instructions burned: 1448 (million)
% 4.05/0.86 % (4000316)Success in time 0.628 s
% 4.05/0.86 % Vampire exiting
%------------------------------------------------------------------------------